Fig.1

The Hubble constant changes with the scale factor when $K = + 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 3.5$"

Fig.2

The Hubble constant changes with the scale factor when $K = - 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 3.5$"

Fig.3

The Hubble constant changes with the scale factor when $K = - 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 3.0$ and $2.5$ "

Fig.4

The luminosity distance changes with redshift when $K = + 1,{w_0} = - 1,a_0 H_0=3.5,{\varLambda _0}{\rm{ = }} - 0.02\Lambda $"

Fig.5

${\varLambda _{\min }}$ changes with ${a_0}{H_0}$ : a) K=+1; b) K=–1 "

Fig.6

The matter density ${\varOmega _{\rm{M}}} $ changes with the scale factor when K=+1, a0H0=3.5, $\varLambda_0=-0.02\varLambda$ "

Table 1

The value of ${\varLambda _{\max}}$ when $K = + 1$ "

Table 2

The value of ${\varLambda _{\max}}$ when $K = - 1$ "

Table 3

The value of Λ0-crit when $K = + 1$ "

Table 4

The value of Λ0-crit when $K = - 1$ "

Fig.7

${\varLambda _{{\rm{eff}}}}$ transitions from a monotonically decreasing quintessence type to a local minimum type with changes in the scale factor when $K=+1, a_0 H_0=3.5$ "

Fig.8

Comparison of the measured distance modulus with its expected value when $K = + 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 3.5$ "

Fig.9

Comparison of the measured distance modulus with its expected value when $K = + 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 3.0$ "

Fig.10

Comparison of the measured distance modulus with its expected value when $K = + 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 2.5$ "

Fig.11

Comparison of the measured distance modulus with its expected value when $K = - 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 3.5$ "

Fig.12

Comparison of the measured distance modulus with its expected value when $K = + 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 3.0$ "

Fig.13

Comparison of the measured distance modulus with its expected value when $K = + 1,{\varLambda _0} = - 0.02\varLambda ,{a_0}{H_0} = 2.5$ "

Fig.14

Comparison of the three models when $K = +1 ,{a_0}{H_0} = 3.5 ,{\varLambda _0} = - 0.02\varLambda$ "

Fig.15

${\varOmega _{\rm{K}}}$ changes with the scale factor when $K = +1 ,{a_0}{H_0} = 2.5 ,{\varLambda _0} = - 0.072\varLambda$ "

Fig.16

$\ddot a$ changes with the scale factor: a) $K = +1 ,{a_0}{H_0} = 3.5 ,{\varLambda _0} = - 0.02\varLambda$ ; b) $K = -1 ,{a_0}{H_0} = 3.5 ,{\varLambda _0} = - 0.02\varLambda$ "